The Journal of the Indian Mathematical Society

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Flexion in Polar Coordinates


     

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The conditions for concavity or convexityin polar coordinates as given in Text books are misleading. The statement ' that a curve is concave or convex according as the expression (u+d2u/dθ2) positive or negative ' requires modification when the sign of the radius vector is taken into account.


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  • Flexion in Polar Coordinates

Abstract Views: 192  |  PDF Views: 1

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Abstract


The conditions for concavity or convexityin polar coordinates as given in Text books are misleading. The statement ' that a curve is concave or convex according as the expression (u+d2u/dθ2) positive or negative ' requires modification when the sign of the radius vector is taken into account.